Victoria rolls a number cube numbered 1-6 three times. What is the probability that she will roll a 5 on each roll?
3/6=1/2
How did you get that answer?
To find the probability of rolling a 5 on each of the three rolls, we need to determine the probability of rolling a 5 on a single roll and then multiply that probability by itself three times.
Since the number cube is numbered from 1 to 6, the probability of rolling a 5 on a single roll is 1/6, as there is only one favorable outcome (rolling a 5) out of six possible outcomes.
Now, let's calculate the probability of rolling a 5 on all three rolls:
Probability of rolling a 5 on the first roll = 1/6
Probability of rolling a 5 on the second roll = 1/6
Probability of rolling a 5 on the third roll = 1/6
To calculate the total probability, we multiply these probabilities together:
(1/6) x (1/6) x (1/6) = 1/216
Therefore, the probability that Victoria will roll a 5 on each roll is 1/216.
To find the probability of rolling a 5 on a number cube three times in a row, we need to determine the probability of rolling a 5 on a single roll and then multiply it by itself for three rolls.
The number cube has 6 equally likely outcomes, since it has 6 sides numbered 1 to 6.
The probability of rolling a 5 on a single roll is 1 out of 6, because there is only one side numbered 5 out of the six possible outcomes.
So, the probability of rolling a 5 on a single roll is 1/6.
To calculate the probability of rolling three 5s in a row, we multiply this probability by itself three times:
Probability of rolling a 5 on the first roll: 1/6
Probability of rolling a 5 on the second roll: 1/6
Probability of rolling a 5 on the third roll: 1/6
Therefore, the overall probability of rolling a 5 on each roll is (1/6) x (1/6) x (1/6) = 1/216.
So, the probability that Victoria will roll a 5 on each roll is 1/216.